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40344289471806 = 2343475369190847
BaseRepresentation
bin10010010110001011000110…
…00010101110110100111110
312021211212122220022022200020
421023011203002232310332
520242000101101044211
6221445524414313010
711332531050213525
oct1113054302566476
9167755586268606
1040344289471806
1111944a0a6a7031
124636bb0ab8766
1319685b1050008
149d69617714bc
1549e6aa767306
hex24b1630aed3e

40344289471806 has 128 divisors (see below), whose sum is σ = 86038015574016. Its totient is φ = 12594918510720.

The previous prime is 40344289471667. The next prime is 40344289471807. The reversal of 40344289471806 is 60817498244304.

40344289471806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40344289471806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40344289471807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444045075 + ... + 444135921.

It is an arithmetic number, because the mean of its divisors is an integer number (672171996672).

Almost surely, 240344289471806 is an apocalyptic number.

40344289471806 is an abundant number, since it is smaller than the sum of its proper divisors (45693726102210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40344289471806 is a wasteful number, since it uses less digits than its factorization.

40344289471806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91686.

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 40344289471806 in words is "forty trillion, three hundred forty-four billion, two hundred eighty-nine million, four hundred seventy-one thousand, eight hundred six".

Divisors: 1 2 3 6 43 47 53 86 94 106 129 141 159 258 282 318 691 1382 2021 2073 2279 2491 4042 4146 4558 4982 6063 6837 7473 12126 13674 14946 29713 32477 36623 59426 64954 73246 89139 90847 97431 107113 109869 178278 181694 194862 214226 219738 272541 321339 545082 642678 1396511 1574789 1721281 2793022 3149578 3442562 3906421 4189533 4269809 4724367 4814891 5163843 7812842 8379066 8539618 9448734 9629782 10327686 11719263 12809427 14444673 23438526 25618854 28889346 62775277 74015083 125550554 148030166 183601787 188325831 207040313 222045249 226299877 367203574 376651662 414080626 444090498 452599754 550805361 621120939 678899631 1101610722 1242241878 1357799262 2699336911 2950438019 3327089681 5398673822 5900876038 6654179362 8098010733 8851314057 9730894711 9981269043 16196021466 17702628114 19461789422 19962538086 29192684133 58385368266 126868834817 143064856283 156373215007 253737669634 286129712566 312746430014 380606504451 429194568849 469119645021 761213008902 858389137698 938239290042 6724048245301 13448096490602 20172144735903 40344289471806